Math 2602  B, B2,                                                                            Homework  #4

                                                Due Tuesday,  September 16, 2003

   
   i)   How many "words" or ordered lists of length 16 can be formed using the three symbol alphabet
       {A, B , C }?

   ii)  How many of the words in (i) have exactly one C ?

   iii) How many words in (i) have at most two A's ?

   iv) How many of the words in (i) have at least two A's ?

   v)  How many of the words in (i) have exactly one A or exactly one C (or both) ?

   vi) How many words in (i) have only A's and B's in the leftmost 6 positions?